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14099709550080 = 29357111941127241
BaseRepresentation
bin1100110100101101100000…
…1011011101111000000000
31211220220211000000220121210
43031023120023131320000
53322002201121100310
645553152300450120
72653445642503230
oct315133013357000
954826730026553
1014099709550080
11454672050a430
1216b8750249940
137b379b52a71b
1436a602ac3cc0
15196b748b3820
hexcd2d82dde00

14099709550080 has 2560 divisors, whose sum is σ = 61328554721280. Its totient is φ = 2675441664000.

The previous prime is 14099709550063. The next prime is 14099709550093. The reversal of 14099709550080 is 8005590799041.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 14099709550080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58505018760 + ... + 58505019000.

It is an arithmetic number, because the mean of its divisors is an integer number (23956466688).

Almost surely, 214099709550080 is an apocalyptic number.

14099709550080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14099709550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30664277360640).

14099709550080 is an abundant number, since it is smaller than the sum of its proper divisors (47228845171200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14099709550080 is a wasteful number, since it uses less digits than its factorization.

14099709550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 14099709550080 in words is "fourteen trillion, ninety-nine billion, seven hundred nine million, five hundred fifty thousand, eighty".